Artículos de revistas
OPTIMALITY ON HOMOGENEOUS SPACES, AND THE ANGLE SYSTEM ASSOCIATED WITH A BILINEAR CONTROL SYSTEM
Registro en:
Siam Journal On Control And Optimization. Siam Publications, v. 48, n. 4, n. 2636, n. 2650, 2009.
0363-0129
WOS:000270194500027
10.1137/080736867
Autor
Ayala, V
Rodriguez, JC
Martin, LABS
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Let G be a Lie group. In order to study optimal control problems on a homogeneous space G/H, we identify its cotangent bundle T*G/H as a subbundle of the cotangent bundle of G. Next, this identification is used to describe the Hamiltonian lifting of vector fields on G/H induced by elements in the Lie algebra g of G. As an application, we consider a bilinear control system Sigma in R(2) whose matrices generate sl(2). Through the Pontryagin maximum principle, we analyze the time-optimal problem for the angle system P Sigma defined by the projection of S onto the projective line Sigma(1). We compute some examples, and in particular we show that the bang-bang principle does not need to be true. 48 4 2636 2650 CONICYT [D-21070955] Instituto de Matematica Estatisticae Ciencias da Computacao, Universidade Estadual de Campinas [6065, 13081-970] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CONICYT [D-21070955] Instituto de Matematica Estatisticae Ciencias da Computacao, Universidade Estadual de Campinas [6065, 13081-970] CNPq [305513/2003-6] FAPESP [07/06896-5]